Solitaire

Solitaire was a card game.

The Second Doctor plays solitaire. (TV: The War Games)

You may be looking for the audio story.

Blon Fel-Fotch Passameer-Day Slitheen praised it as "a game where you hold all the cards". She wondered if Suzie Costello's laptop had solitaire on it, claiming that the game could keep her entertained for hours. (AUDIO: Sync)

The First Doctor set such a complicated password on the Soul Pirate's console that it couldn't do anything other than play solitaire. (PROSE: A Big Hand for the Doctor)

The Second Doctor played solitaire while waiting on Gallifrey for Jamie and Zoe. (TV: The War Games) The Celestial Toymaker played solitaire just before Charlotte Pollard entered the Toy Shop. (AUDIO: Solitaire)